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Finding the Fourth Proportional to 85,715.78, 128,582.13 and 29,548.49

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Solution

The fourth proportional to 85,715.78, 128,582.13 and 29,548.49 is: 44,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,715.78 : 128,582.13 = 29,548.49 : x
  2. Step 2: Convert to fraction form
    85,715.78/128,582.13 = 29,548.49/x
  3. Step 3: Cross multiply
    85,715.78x = 128,582.13 × 29,548.49
  4. Step 4: Simplify right side
    85,715.78x = 3,799,407,782.48
  5. Step 5: Solve for x
    x = 3,799,407,782.48/85,715.78
  6. Step 6: Final answer
    x = 44,325.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.